Least Common Multiple of 3203/212, 4116/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3203/212, 4116/314 quickly i.e. 6591774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3203/212, 4116/314 is 6591774.

LCM(3203/212, 4116/314) = 6591774

LCM of 3203/212, 4116/314

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3203/212,4116/314

Given numbers are 3203/212,4116/314

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3203,4116

Least Common Multiple of Numerators i.e. LCM of 3203,4116 is 13183548.

GCF of Denominators means GCF of 212,314 as per the given fractions.

GCF of 212,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3203,4116

LCM of Fractions 3203/212,4116/314 is 6591774

Given numbers has no common factors except 1. So, there LCM is their product i.e 13183548

Least Common Multiple of 3203,4116 with GCF Formula

Least Common Multiple of 3203,4116 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3203,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3203,4116) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3203,4116) x common factors =1 x 1 = 1

LCM(3203,4116) = ( 3203 × 4116 ) / 1

LCM(3203,4116) = 13183548 / 1

LCM(3203,4116) = 13183548


Lets's calculate GCF of 212,314

2 212, 314
106, 157

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13183548/2

Therefore the LCM of Fractions 3203/212,4116/314 is 6591774

Greatest Common Factor of 212,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,314 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 212,314 . The biggest common factor number is the GCF number.
So the greatest common factor 212,314 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3203/212, 4116/314

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3203/212, 4116/314?

Answer: LCM of Numerators as per given numbers 3203/212, 4116/314 is

LCM of Numerators i.e. for 3203,4116 is 13183548

GCF of denominators i.e. for 212,314 is 2.

Thus, LCM of Fractions is 6591774.Finally, LCM of Fractions for 3203/212, 4116/314 is 6591774.